Publications
Submitted papers
Frames for signal processing on Cayley graphs.
With K. Beck, S. Hudson, and J. Palteinsten.
Submitted arXiv 2302.02812
Robust recovery of Robinson property in Lp-graphons: A cut-norm approach.
With T. Mishura.
Submitted arXiv 2303.16598
Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth.
With Y. Choi and H.L. Pham.
Submitted arXiv 2305.18272
Wavelet characterizations of the Sobolev wavefront set: bandlimited wavelets and compactly supported wavelets.
With H. Fuehr.
Submitted arXiv 2402.02796
Published papers
Representing topological full groups in Steinberg algebras and C*-algebras
With B. Armstrong, L. Orloff Clark, E.J. Kang, and D. Yang.
Journal of Mathematical Analysis and Applications 534 (2024) 128023. arXiv 2309.04927
Graph sequences sampled from Robinson graphons.
With J. Janssen.
European Journal of Combinatorics 116(2024) 103859. arXiv 2005.05253
Signal processing on large networks with group symmetries.
With K. Beck, J. Janssen, and N. Kalyaniwalla.
Presented at Graph Signal Processing Workshop 2023 Oxford. arXiv 2303.17065
Frames for graph signals on the symmetric group: a representation theoretic approach.
With K. Beck.
IEEE Xplore: European Signal Processing Conference EUSIPCO (2022), 2071-2075. arXiv 2203.03036
A noncommutative approach to the graphon Fourier transform.
With J. Janssen and Nauzer Kalyaniwalla.
Applied and Computational Harmonic Analysis 61 (2022), 101-131. arXiv 2109.08646
Beurling-Fourier algebras on Lie groups and their spectra.
With H. H. Lee, J. Ludwig, N. Spronk, and L. Turowska.
Advances in Mathematics 391 (2021), Paper No. 107951, 127 pp. arXiv 1804.10937
Dual convolution for the affine group of the real line.
Complex Analysis and Operator Theory 15 (2021), no. 4, 76, 32 pp. arXiv 2009.05497
Discrete frames for L2(Rn^2) arising from tiling systems on GLn(R).
With K. Hollingsworth.
Journal of Mathematical Analysis and Applications 503 (2021), no. 2, 21 pp. arXiv 2003.13113
Gabor-type frames for signal processing on graphs.
With D. Guillot and K. Hollingsworth.
Journal of Fourier Analysis and Applications 27 (2021), no. 2, Paper No. 25, 23 pp. arXiv 2009.06058
Unavoidable subprojections in union-closed set systems of infinite breadth.
With Y. Choi and H. L. Pham.
European J. Combin. 94 (2021), 17 pp. arXiv 1702.06266
Stability of characters and filters for weighted semilattices.
With Y. Choi and H. L. Pham.
Semigroup Forum 102 (2021), no. 1, 86-103. arXiv 1901.00082
A non-commutative viewpoint on graph signal processing.
With D. Guillot and K. Hollingsworth.
IEEE Xplore: 2019 International Conference on Sampling Theory and Applications (SAMPTA).
An optimization parameter for seriation of noisy data.
With J. Janssen.
SIAM J. Discrete Mathematics (SIDMA). 33 (2019), no.2, 712-730. arXiv 1803.10354
Derivations on the algebra of Rajchman measures.
Complex Anal. Synerg. 5 (2019), no. 1, Paper No. 6, 10 pp. arXiv 1804.10937
Uniform linear embeddings of graphons.
With H. Chuangpishit and J. Janssen.
European J. Combin. 61 (2017) 47-68. arXiv 1507.04389
Projections in L1(G): unimodular case.
With A. Alaghmandan, N. Spronk, and K. F. Taylor.
Proc. Amer. Math. Soc., 144 (2016), no. 11, 4929-4941. arXiv 1510.09068
Some Beurling-Fourier algebras on compact groups are operator algebras.
With H. H. Lee, E. Samei and N. Spronk.
Trans. Amer. Math. Soc. 367 (2015), no. 10, 7029-7059. arXiv 1208.4835
Linear embeddings of graphs and graph limits.
With H. Chuangpishit, M. Hurshman, J. Janssen and N. Kalyaniwalla.
J. Combin. Theory Ser. B 113 (2015), 162-184. arXiv 1210.4451
Weak amenability for Fourier algebras of 1-connected nilpotent Lie groups.
With Y. Choi.
J. Funct. Anal. 268 (2015) no. 8, 2440-2463. arXiv 1405.6403
Uniform linear embeddings of spatial random graphs.
With H. Chuangpishit and J. Janssen.
Electronic Notes of Discrete Maths (refereed conference proceedings) 49 (2015), 541-547.
Images of the continuous wavelet transform.
With K. F. Taylor.
In "Operator methods in wavelets, tilings, and frames". Contemp. Math. 626 (2014), 55-65.
Weak and cyclic amenability for Fourier algebras of connected Lie groups.
With Y. Choi.
J. Funct. Anal. 266 (2014) no. 11, 6501-6530. arXiv 1304.3710
A four dimensional continuous wavelet transform.
With A. Syzdykova and K. F. Taylor.
"Commutative and Noncommutative Harmonic Analysis and Applications". Contemp. Math. 603 (2013), 123-136.
Amenability properties of Rajchman algebras.
Indiana Univ. Math. J. 61 (2012), no. 3, 1369-1392. arXiv 1102.2667
Amenability constants for semilattice algebras.
With H. Hatami and N. Spronk.
Semigroup Forum 79 (2009), no. 2, 279-297. arXiv 0705.4279
Fourier analysis and large independent sets in powers of complete graphs.
With H. Hatami.
J. Combin. Theory Ser. B. 98 (2008), no. 1, pp. 164-172. arXiv math.CO/0612377
Circular chromatic index of graphs of maximum degree 3.
With P. Afshani, M. Ghandehari, H. Hatami, R. Tusserkani, and X. Zhu.
J. Graph Theory 49 (2005) no. 4, pp. 325-335. arXiv math.CO/0701016
On the size of the minimum critical set of a Latin square.
With H. Hatami and E.S. Mahmoodian.
J. Discrete Math. 293 (2005), nos. 1--3, pp. 121-127. arXiv math.CO/0701015
On Commuting Graphs of Semisimple Rings.
With S. Akbari, M. Hadian, and A. Mohammadian.
Linear Algebra Appl. 390 (2004), pp. 345-355.
Theses
Harmonic analysis of Rajchman algebras [link].
PhD thesis, 2010, University of Waterloo.
Independent sets in graph products via harmonic analysis [link].
Master's thesis, 2005, Concordia University.
On defining sets in Latin squares [in Farsi].
Master's thesis, 2003, Sharif University of Technology.